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Conference papers
The balance constraint family
Abstract : The BALANCE constraint introduced by Beldiceanu ensures solutions are balanced. This is useful when, for example, there is a requirement for solutions to be fair. BALANCE bounds the difference B between the minimum and maximum number of occurrences of the values assigned to the variables. We show that achieving domain consistency on BALANCE is NP-hard. We therefore introduce a variant, BALANCE with a similar semantics that is only polynomial to propagate. We consider various forms of BALANCE and focus on ATMOSTBALANCE which achieves what is usually the main goal, namely constraining the upper bound on B.We provide a specialized propagation algorithm, and a powerful decomposition both of which run in low polynomial time. Experimental results demonstrate the promise of these new filtering methods.
https://hal.inrae.fr/hal-02743284
Contributor : Migration Prodinra Connect in order to contact the contributor
Submitted on : Wednesday, June 3, 2020 - 5:41:51 AM
Last modification on : Thursday, May 13, 2021 - 3:41:33 AM
Contributor : Migration Prodinra Connect in order to contact the contributor
Submitted on : Wednesday, June 3, 2020 - 5:41:51 AM
Last modification on : Thursday, May 13, 2021 - 3:41:33 AM
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